The charge on 500 cc of water due to protons will be

(1) 6.0 × 1027 C

(2) 2.67 × 107 C

(3) 6 × 1023 C

(4) 1.67 × 1023 C

1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
3. If the assertion is true but the reason is false
4. If both the assertion and reason are false

Concept Questions :-

Coulomb's law
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The electric field in a region is radially outward with magnitude $E=A{\gamma }_{0}$. The charge contained in a sphere of radius ${\gamma }_{0}$ centered at the origin is

(1) $\frac{1}{4\pi {\epsilon }_{0}}A{\gamma }_{0}^{3}$

(2) $4\pi {\epsilon }_{0}A{\gamma }_{0}^{3}$

(3) $\frac{4\pi {\epsilon }_{0}A}{{\gamma }_{0}}$

(4) $\frac{1}{4\pi {\epsilon }_{0}}\frac{A}{{\gamma }_{0}^{3}}$

Concept Questions :-

Gauss law
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Charge q is uniformly distributed over a thin half-ring of radius R. The electric field at the centre of the ring is

(1) $\frac{q}{2{\pi }^{2}{\epsilon }_{0}{R}^{2}}$

(2) $\frac{q}{4{\pi }^{2}{\epsilon }_{0}{R}^{2}}$

(3) $\frac{q}{4\pi {\epsilon }_{0}{R}^{2}}$

(4) $\frac{q}{2\pi {\epsilon }_{0}{R}^{2}}$

Concept Questions :-

Electric field
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Difficulty Level:

In the given figure two tiny conducting balls of identical mass m and identical charge q hang from non-conducting threads of equal length L. Assume that θ is so small that $\mathrm{tan}\theta \approx \mathrm{sin}\theta$, then for equilibrium x is equal to

(1) ${\left(\frac{{q}^{2}L}{2\pi {\epsilon }_{0}mg}\right)}^{\frac{1}{3}}$

(2) ${\left(\frac{q{L}^{2}}{2\pi {\epsilon }_{0}mg}\right)}^{\frac{1}{3}}$

(3) ${\left(\frac{{q}^{2}{L}^{2}}{4\pi {\epsilon }_{0}mg}\right)}^{\frac{1}{3}}$

(4) ${\left(\frac{{q}^{2}L}{4\pi {\epsilon }_{0}mg}\right)}^{\frac{1}{3}}$

Concept Questions :-

Coulomb's law
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Difficulty Level:

Three positive charges of equal value q are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in

(1)   (2)

(3)    (4)

Concept Questions :-

Electric field
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Difficulty Level:

Two equal charges are separated by a distance d. A third charge placed on a perpendicular bisector at x distance will experience maximum coulomb force when

(1) $x=\frac{d}{\sqrt{2}}$

(2) $x=\frac{d}{2}$

(3) $x=\frac{d}{2\sqrt{2}}$

(4) $x=\frac{d}{2\sqrt{3}}$

Concept Questions :-

Coulomb's law
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is

(1) ${\left(\frac{pE}{I}\right)}^{1/2}$

(2) ${\left(\frac{pE}{I}\right)}^{3/2}$

(3) ${\left(\frac{I}{pE}\right)}^{1/2}$

(4) ${\left(\frac{p}{IE}\right)}^{1/2}$

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

An infinite number of electric charges each equal to 5 nano-coulomb (magnitude) are placed along x-axis at x = 1 cm, x = 2 cm, x = 4 cm, x = 8 cm ………. and so on. In the setup if the consecutive charges have opposite sign, then the electric field in Newton/Coulomb at x = 0 is $\left(\frac{1}{4\pi {\epsilon }_{0}}=9×{10}^{9}N-{m}^{2}/{c}^{2}\right)$

(1) 12 × 104

(2) 24 × 104

(3) 36 × 104

(4) 48 × 104

Concept Questions :-

Electric field
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Difficulty Level:

A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is T0. When parallel plates are charged, the time period changes to T. The ratio T/T0 is equal to

(1) ${\left(\frac{g+\frac{qE}{m}}{g}\right)}^{1/2}$

(2) ${\left(\frac{g}{g+\frac{qE}{m}}\right)}^{3/2}$

(3) ${\left(\frac{g}{g+\frac{qE}{m}}\right)}^{1/2}$

(4) None of these

Concept Questions :-

Electric field
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Difficulty Level:

Three charges –q1, +q2 and –q3 are placed as shown in the figure. The x-component of the force on –q1 is proportional to

(1) $\frac{{q}_{2}}{{b}^{2}}-\frac{{q}_{3}}{{a}^{2}}\mathrm{sin}\theta$

(2) $\frac{{q}_{2}}{{b}^{2}}-\frac{{q}_{3}}{{a}^{2}}\mathrm{cos}\theta$

(3) $\frac{{q}_{2}}{{b}^{2}}+\frac{{q}_{3}}{{a}^{2}}\mathrm{sin}\theta$

(4) $\frac{{q}_{2}}{{b}^{2}}+\frac{{q}_{3}}{{a}^{2}}\mathrm{cos}\theta$

Concept Questions :-

Electric field